International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 7, Pages 437-444
On the correct formulation of a nonlinear differential equations in Banach space
Faculty of Science, Alexandria University, Alexandria, Egypt
Received 28 September 1998
Copyright © 2001 Mahmoud M. El-Borai et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study, the existence and uniqueness of the initial value problems in a Banach space for the abstract nonlinear differential equation , and consider the correct solution of this problem. We also give an application of the theory of partial differential equations.